Hey there!
Apply fraction cross multiply: if a/b = c/d , then a *d = b*c
2 ( 5x - 2 ) = ( 2x + 4 ) * 4
expand : 2 (5x-2 ) => 2*5x - 2*2 => 10x - 4
expand : ( 2x +4 ) * 4 => 2x * 4 + 4*4 => 8x + 16
10x - 4 = 8x+16
add 4 to both sides:
10x-4+4 = 8x+16+4
simplify :
10x = 8x + 20
subtract 8x from both sides:
10x -8x = 8x+20-8x
simplify:
2x = 20
Therefore:
x = 20 / 2
x = 10
Hope that helps!
Given:
A coordinate pair was dilated from (-3, 2) to (-6, 4).
To find:
The scale factor.
Solution:
We need to divide the coordinate of dilated point by the corresponding coordinate of original point to find the scale factor.
The value of scale factor is:
Therefore, the scale factor is 2.
Answer:
B) h=8√2
Step-by-step explanation:
In a 45-45-90 triangle, h=s√2, where s is the side length of the triangle. Therefore, h=8√2
Answer:
5
Step-by-step explanation:
(5 x 25)+ ( 5x 6) = 5 x (25 + 6)
Answer:
The percentage increase is 44.44%
What best describes the error is that the denominator should be 18 which is the original amount
Step-by-step explanation:
Here, we are to calculate the percentage increase from 18 to 26
Mathematically, we can calculate this with the following formula;
(New value - old value)/old value * 100%
Where the new value is 26 and the old value is 18. Plugging these values, we have;
(26-18)/18 * 100%
8/18 * 100% = 44.44% increase